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Finding the Fourth Proportional to 16,223.42, 22,387.92 and 9,149.78

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Solution

The fourth proportional to 16,223.42, 22,387.92 and 9,149.78 is: 12,626.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.42 : 22,387.92 = 9,149.78 : x
  2. Step 2: Convert to fraction form
    16,223.42/22,387.92 = 9,149.78/x
  3. Step 3: Cross multiply
    16,223.42x = 22,387.92 × 9,149.78
  4. Step 4: Simplify right side
    16,223.42x = 204,844,542.66
  5. Step 5: Solve for x
    x = 204,844,542.66/16,223.42
  6. Step 6: Final answer
    x = 12,626.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.